74736480 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 14966784.

The previous prime is 74736479. The next prime is 74736521. The reversal of 74736480 is 8463747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266691 + ... + 1266749.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^74736480 is an apocalyptic number.

74736480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

74736480 is an abundant number, since it is smaller than the sum of its proper divisors (230082720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74736480 is a wasteful number, since it uses less digits than its factorization.

74736480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 74736480 is about 8645.0263157494. The cubic root of 74736480 is about 421.2218388780.

The spelling of 74736480 in words is "seventy-four million, seven hundred thirty-six thousand, four hundred eighty".